Examine the function f(x, y) = x³-27xy+y³ +6 for relative extrema and saddle points O relative minimum: (9, 9, -723); relative maximum: (0, 0, 6) O saddle point: (9, 9, -723); relative minimum: (0, 0, 6) saddle point: (0, 0, 6); relative minimum: (9, 9, -723) O relative minimum: (0, 0, 6); relative maximum: (9, 9, -723) saddle points: (0, 0, 6), (9, 9, -723)
Examine the function f(x, y) = x³-27xy+y³ +6 for relative extrema and saddle points O relative minimum: (9, 9, -723); relative maximum: (0, 0, 6) O saddle point: (9, 9, -723); relative minimum: (0, 0, 6) saddle point: (0, 0, 6); relative minimum: (9, 9, -723) O relative minimum: (0, 0, 6); relative maximum: (9, 9, -723) saddle points: (0, 0, 6), (9, 9, -723)
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 3SE: How are the absolute maximum and minimum similar to and different from the local extrema?
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Transcribed Image Text:Examine the function f(x, y) = x³-27xy +y³ +6 for relative extrema and saddle points.
O relative minimum: (9, 9, -723); relative maximum: (0, 0, 6)
O saddle point: (9, 9, -723); relative minimum: (0, 0, 6)
saddle point: (0, 0, 6); relative minimum: (9, 9, -723)
O relative minimum: (0, 0, 6); relative maximum: (9, 9, -723)
O saddle points: (0, 0, 6), (9, 9, -723)
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